Print Email Facebook Twitter Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity Title Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity Author Cusini, M. (TU Delft Reservoir Engineering) van Kruijsdijk, C.P.J.W. (Shell) Hajibeygi, H. (TU Delft Reservoir Engineering) Date 2016 Abstract An algebraic dynamic multilevel method (ADM) is developed for fully-implicit (FIM) simulations of multiphase flow in heterogeneous porous media with strong non-linear physics. The fine-scale resolution is defined based on the heterogeneous geological one. Then, ADM constructs a space-time adaptive FIM system on a dynamically defined multilevel nested grid. The multilevel resolution is defined using an error estimate criterion, aiming to minimize the accuracy-cost trade-off. ADM is algebraically described by employing sequences of adaptive multilevel restriction and prolongation operators. Finite-volume conservative restriction operators are considered whereas different choices for prolongation operators are employed for different unknowns. The ADM method is applied to challenging heterogeneous test cases with strong nonlinear heterogeneous capillary effects. It is illustrated that ADM provides accurate solution by employing only a fraction of the total number of fine-scale grid cells. ADM is an important advancement for multiscale methods because it solves for all coupled unknowns (here, both pressure and saturation) simultaneously on arbitrary adaptive multilevel grids. At the same time, it is a significant step forward in the application of dynamic local grid refinement techniques to heterogeneous formations without relying on upscaled coarse-scale quantities To reference this document use: http://resolver.tudelft.nl/uuid:86f8b2e5-e424-4a46-9c7e-6d5d102072fd Publisher EAGE ISBN 9462821933 Source 15th European Conference on the Mathematics of Oil Recovery: Amsterdam, Netherlands Event ECMOR XV, 2016-08-29 → 2016-09-01, Amsterdam, Netherlands Part of collection Institutional Repository Document type conference paper Rights © 2016 M. Cusini, C.P.J.W. van Kruijsdijk, H. Hajibeygi Files PDF EcmorXV_ADM.pdf 1.57 MB Close viewer /islandora/object/uuid:86f8b2e5-e424-4a46-9c7e-6d5d102072fd/datastream/OBJ/view